Question: a Use an appropriate computer program to fit a plane
(a) Use an appropriate computer program to fit a plane to the following data relating the monthly water usage of a production plant (gallons) to its monthly production (tons), mean monthly ambient temperature (°F), and the monthly number of days of plant operation over a period of 12 months.
(b) Estimate the water usage of the plant during a month when its production is 90.0 tons, the mean ambient temperature is 65°F, and it operates for 20 days.
Relevant Questions(a) Fit a linear surface to the following data: (b) How good a fit is obtained? (c) Plot the residuals against and determine whether the pattern is “random.” (d) Check for multicollinearity among the independent ...Prove Theorem 15.6. Theorem 15.6 Where Ti.., T·j· , and T..k are the totals of the values obtained for treatment A, treatment B, and the replicates, respectively, and Tij· is the sum over replicates obtained for values ...Prove Theorem 15.2. Theorem15.2 And Where Ti· is the total of the values obtained for the ith treatment and T.. is the grand total of all a ∙ n observations. The quantity Is called the correction term. The experiment described in Exercise 15.23 was repeated, with the following results. Combining these data with those of Exercise 15.23, perform an appropriate analysis of variance to test the null hypotheses involving fuels, ...Perform appropriate multiple- range tests, using the 0.01 level of significance, to characterize the differences among the launcher means and the fuel means in Exercise 15.27. Under what circumstances would it not be ...
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